Precalculus Examples

f (x) = x^{2} + 3 x + 4

$f (x) = x^{2} + 3 x + 4$ ,

g (x) = x - 1

$g (x) = x - 1$ ,

(g \circ f)

$(g \circ f)$

Step 1

Set up the composite result function.

g (f (x))

$g (f (x))$

Step 2

Evaluate

g (x^{2} + 3 x + 4)

$g (x^{2} + 3 x + 4)$ by substituting in the value of

f

$f$ into

g

$g$ .

g (x^{2} + 3 x + 4) = (x^{2} + 3 x + 4) - 1

$g (x^{2} + 3 x + 4) = (x^{2} + 3 x + 4) - 1$

Step 3

Subtract

1

$1$ from

4

$4$ .

g (x^{2} + 3 x + 4) = x^{2} + 3 x + 3

$g (x^{2} + 3 x + 4) = x^{2} + 3 x + 3$

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